Visualization, Explanation and Reasoning Styles in Mathematics

• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Άλλοι συγγραφείς: Mancosu, Paolo (Επιμελητής έκδοσης), Jørgensen, Klaus Frovin (Επιμελητής έκδοσης), Pedersen, Stig Andur (Επιμελητής έκδοσης)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Dordrecht : Springer Netherlands, 2005.
• Σειρά: Synthese Library, Studies in Epistemology, Logic, Methodology, and Philosophy of Science ; 327
• Θέματα: Mathematics.; Philosophy and science.; Visualization.; History.; Mathematical logic.; Mathematics, general.; History of Mathematical Sciences.; Mathematical Logic and Foundations.; Philosophy of Science.

This book contains groundbreaking contributions to the philosophical analysis of mathematical practice. Several philosophers of mathematics have recently called for an approach to philosophy of mathematics that pays more attention to mathematical practice. Questions concerning concept-formation, und...

Πίνακας περιεχομένων:

• Mathematical Reasoning and Visualization
• Visualization in Logic and Mathematics
• From Symmetry Perception to Basic Geometry
• Naturalism, Pictures, and Platonic Intuitions
• Mathematical Activity
• Mathematical Explanation and Proof Styles
• Tertium Non Datur: On Reasoning Styles in Early Mathematics
• The Interplay Between Proof and Algorithm in 3rd Century China: The Operation as Prescription of Computation and the Operation as Argumento
• Proof Style and Understanding in Mathematics I: Visualization, Unification and Axiom Choice
• The Varieties of Mathematical Explanation
• The Aesthetics of Mathematics: A Study.